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Topic: Matheology § 300
Replies: 63   Last Post: Jul 18, 2013 2:23 AM

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 LudovicoVan Posts: 4,025 From: London Registered: 2/8/08
Re: Matheology § 300
Posted: Jul 13, 2013 10:40 AM

"Zeit Geist" <tucsondrew@me.com> wrote in message
> On Friday, July 12, 2013 1:41:31 PM UTC-7, muec...@rz.fh-augsburg.de
> wrote:

>> On Friday, 12 July 2013 19:13:19 UTC+2, Zeit Geist wrote:
>>

>> > It is rather silly to expect the process that creates each of the
>> > Naturals would produce the set of all Naturals, as that set is,
>> > itself, not a Natural.

>>
>> Each natural belongs to a finite initial segment. None of them
>> requires a number that is larger than every natural number. In
>> fact the contrary. If you do not talk about the set, then there is
>> no reason to talk about alephs.

>
> Yes, but for every Natural there is a larger natural, hence the number
> of Naturals is larger than any Natural.

Since the number of natural numbers is not itself a natural number, that is
a non-sequitur, despite standardly the conclusive statement is correct:
indeed, a fallacy of relevance. Plus, the standard here is in question, so
one should rather qualify statements as well as objections (not that WM ever
does it, of course).

> Why wouldn't I talk about the set of Naturals?

That there is no such thing as a _set_ N (i.e. a finite-inductive set, an
"unfinished set") is a thesis of *strict finitism* already:
<http://en.wikipedia.org/wiki/Finitism#Classical_finitism_vs._strict_finitism>

Julio

Date Subject Author
7/13/13 LudovicoVan
7/13/13 Tucsondrew@me.com
7/13/13 LudovicoVan
7/13/13 Tucsondrew@me.com
7/13/13 LudovicoVan
7/13/13 Virgil
7/13/13 LudovicoVan
7/13/13 Virgil
7/13/13 Virgil
7/13/13 LudovicoVan
7/13/13 Virgil
7/13/13 Virgil
7/13/13 LudovicoVan
7/13/13 Virgil
7/13/13 Virgil
7/13/13 LudovicoVan
7/13/13 Virgil
7/15/13 albrecht
7/15/13 Virgil
7/15/13 mueckenh@rz.fh-augsburg.de
7/15/13 Virgil
7/15/13 Virgil
7/16/13 Virgil
7/16/13 albrecht
7/16/13 Virgil
7/16/13 LudovicoVan
7/16/13 Virgil
7/16/13 LudovicoVan
7/16/13 Virgil
7/17/13 Virgil
7/17/13 Virgil
7/17/13 Virgil
7/17/13 Tanu R.
7/18/13 Virgil
7/17/13 albrecht
7/17/13 Virgil
7/17/13 mueckenh@rz.fh-augsburg.de
7/17/13 Virgil
7/17/13 Virgil
7/17/13 Virgil
7/16/13 fom
7/15/13 Virgil
7/15/13 fom
7/13/13 Virgil
7/13/13 LudovicoVan
7/13/13 Virgil
7/14/13 Virgil
7/14/13 Virgil
7/15/13 Virgil
7/15/13 Virgil